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42065320 = 2351195603
BaseRepresentation
bin1010000001110…
…1110110101000
32221011010202211
42200131312220
541232042240
64101334504
71020356263
oct240356650
987133684
1042065320
1121821330
1212107434
13893a92b
14582dcda
153a5dbea
hex281dda8

42065320 has 32 divisors (see below), whose sum is σ = 103252320. Its totient is φ = 15296320.

The previous prime is 42065269. The next prime is 42065333. The reversal of 42065320 is 2356024.

It is a happy number.

It is a super-2 number, since 2×420653202 = 3538982293404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42065291 and 42065300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47362 + ... + 48241.

It is an arithmetic number, because the mean of its divisors is an integer number (3226635).

Almost surely, 242065320 is an apocalyptic number.

42065320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42065320 is an abundant number, since it is smaller than the sum of its proper divisors (61187000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42065320 is a wasteful number, since it uses less digits than its factorization.

42065320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95625 (or 95621 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 42065320 is about 6485.7782879158. The cubic root of 42065320 is about 347.7827727857.

The spelling of 42065320 in words is "forty-two million, sixty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 95603 191206 382412 478015 764824 956030 1051633 1912060 2103266 3824120 4206532 5258165 8413064 10516330 21032660 42065320